Multitone Interference Detection after Dehopping
Process in Slow FH/BFSK Systems over Rayleigh
Fading Channels
Aye Aung, Kah Chan Teh, and Kwok Hung Li
School of Electrical and Electronic Engineering
Nanyang Technological University, Singapore 639798
E-mails: {ayeaung, ekcteh, ekhli }@ntu.edu.sg
Abstract—This paper presents an algorithm to detect unknown
multitone interference (MTI) which is commonly encountered in
slow frequency-hopped spread spectrum (FH-SS) systems over a
Rayleigh fading channel. The least-squares (LS) autoregressive
(AR) spectral estimation method is used in our algorithm.
The proposed algorithm performs the detection process after
dehopping, hence, it can be used to provide the side information
whether the MTI is present or absent for optimum maximum-
likelihood (ML) FH-SS receivers. The fast Fourier transform
(FFT) can also be used to implement this detection algorithm.
Computer simulations are conducted to evaluate detection per-
formance of both algorithms and comparisons are presented.
Numerical results show that the MTI can be detected by both
algorithms even at very low interference power (10 dB lower
than signal power). Performance comparisons reveal that the
proposed algorithm using the AR method is able to locate the
MTI within the desired FH band more precisely than the FFT-
based algorithm.
I. I NTRODUCTION
Frequency-hopped spread spectrum (FH-SS) system has
been an attractive spread spectrum (SS) communication pro-
tocol which is widely used in military and commercial appli-
cations due to its capability to provide reliable information
transmission over the channels in the presence of strong
noise and interference. Regardless of this robustness, per-
formance of FH-SS systems can be degraded by the inten-
tional/unintentional interference. Multitone interference (MTI)
and partial-band noise interference (PBNI) are two principal
categories of interference waveforms encountered in FH-SS
systems [1], [2]. Under the same interference power, the MTI
approach is more effective than the PBNI strategy due to its
efficient power utilization, which can actually cause critical
harm to the FH-SS systems.
The most commonly used data modulation for FH-SS
systems is M-ary frequency-shift-keying (MFSK) [1], [3]. For
FH/MFSK systems, the carrier frequency is randomly hopped
over a total SS bandwidth,
, according to a pseudorandom
(PN) sequence. Based on the hopping rate with respect to
the information symbol rate, there are two types of FH-SS
systems, namely fast FH-SS (FFH-SS) system and slow FH-
SS (SFH-SS) system. In the former, the signal is hopping
much faster than the information symbol rate whereas in the
latter, the hopping rate is slower than the symbol rate. In this
paper, we consider a slow FH-SS system which adopts a binary
FSK (BFSK) modulation scheme. In SFH-SS systems, more
than one symbol are transmitted in one frequency hopping
interval, hence, the system will incur more than one symbol
error if strong MTI is present in a desired FH band. Therefore,
information of MTI is essential for the purpose of mitigating
the interference in order to improve the bit-error-rate (BER)
performance of FH receivers. Besides, it is known that the
receiver with perfect side information can achieve a better
performance than those without side information [2]–[4].
Therefore, it is crucial to detect the unknown MTI encountered
in SFH-SS systems in order to mitigate it as much as possible
before demodulating the desired data.
In literature, very few papers have been devoted to discuss
on these detection issues in FH-SS systems [5], [6]. In [5], the
wavelet packet transform was used for interference detection
in FH-SS systems and the FFT was employed in [6] to estimate
the interference. On the other hand, various types of spectral
estimation methods [7]–[10] have been proposed to detect
sinusoidal signals in literature. These methods can be used
to detect the MTI in SFH-SS systems. But if the MTI is
present in the same location as the signaling tones, it will
be difficult to distinguish the MTI from the signal of interest.
In this paper, we propose a detection algorithm to detect and
identify tone interference encountered in slow FH-SS systems
over a Rayleigh fading channel by using an autoregressive
(AR) spectral estimation method. The parametric AR method
is chosen due to the fact that the parametric AR spectral
estimation approach is able to provide a good accuracy and
higher frequency resolution than non-parametric approach
which is based on the discrete Fourier transform (DFT) [7],
[11]. Moreover, the DFT frequency resolution is limited by the
length of data observation window which is used to acquire the
spectrum whereas the resolution for the parametric method is
merely dependent on the value of signal-to-noise ratio (SNR)
instead of the observation interval. Our proposed detection
algorithm is performed in frequency domain. The received
signal is first downconverted and band-pass (
) filtered.
After dehopping, the signal is passed through an analog band-
pass filter (BPF) with narrowband bandwidth
and then
the detection process is carried out by using the proposed
algorithm. As such we can limit the amount of noise to
the analog-to-digital converter (ADC) input since sampling
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